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Finding the Third Proportional to 1,266,827 and 2,638,491

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Solution

The third proportional to 1,266,827 and 2,638,491 is: 5,495,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,827 : 2,638,491 = 2,638,491 : x
  2. Step 2: Convert to fraction form
    1,266,827/2,638,491 = 2,638,491/x
  3. Step 3: Cross multiply
    1,266,827x = 2,638,491 × 2,638,491
  4. Step 4: Simplify right side
    1,266,827x = 6,961,634,757,081
  5. Step 5: Solve for x
    x = 6,961,634,757,081/1,266,827
  6. Step 6: Final answer
    x = 5,495,331.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.